Non-trivial solutions of local and non-local Neumann boundary-value problems
Classical Analysis and ODEs
2016-03-22 v5
Abstract
We prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for perturbed Hammerstein integral equations. Our approach is topological and relies on the classical fixed point index. Some of the criteria involve a comparison with the spectral radius of some related linear operators. We apply our results to some boundary value problems with local and nonlocal boundary conditions of Neumann type. We illustrate in some examples the methodologies used.
Keywords
Cite
@article{arxiv.1404.1390,
title = {Non-trivial solutions of local and non-local Neumann boundary-value problems},
author = {Gennaro Infante and Paolamaria Pietramala and F. Adrian F. Tojo},
journal= {arXiv preprint arXiv:1404.1390},
year = {2016}
}
Comments
36 pages